Oxford Cambridge and RSA H
Thursday 6 June 2025 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
You may use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
*J56005*
Please write clearly in black ink. Do not write in the barcodes.
Centre number Candidate number
First name(s)
Last name
INSTRUCTIONS
• Use black ink. You may use an HB pencil for graphs and diagrams.
• Answer all the questions.
• Read each question carefully before you start to write your answer.
• Where appropriate, your answers should be supported with working. Marks may be
given for a correct method even if the answer is incorrect.
• Write your answer to each question in the space provided.
• If additional space is required, you should use the lined page(s) at the end of this
booklet. The question number(s) must be clearly shown.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document consists of 20 pages.
No calculator can
be used for this
paper
, 2
© OCR 2019 [601/4606/0]
DC (NF/TP) 173952/3
OCR is an exempt Charity
Turn over
Answer all the questions.
1 Work out (2 1 )# 03 # (4#104), giving your answer in standard form.
......................................................... [2]
2 (a) Simplify fully.
3a8#2a5 a2
(a) ......................................................... [3]
(b) Solve.
6 10x -
=1 5
© OCR 2019
, 3
(b) x = ................................................... [3] 3 Ed has a card shop.
(a) He buys a particular card for £1.20 and sells it for £1.68.
Calculate his percentage profit on this card.
(a) .....................................................% [3]
(b) Ed’s profit on “Good Luck” cards in 2018 was £360.
This was a decrease of 20% on his profit in 2017.
Work out Ed’s profit on “Good Luck” cards in 2017.
(b) £ ...................................................... [3]
4 (a) A sunflower grows at a rate of 4 cm each day.
How many days does it take to grow from a height of 80 cm to more than 1.06 m?
(a) ......................................................... [3]
(b) If the sunflower grows at a faster rate, how would this affect your
answer to part (a)?
© OCR 2019 Turn over
Thursday 6 June 2025 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
You may use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
*J56005*
Please write clearly in black ink. Do not write in the barcodes.
Centre number Candidate number
First name(s)
Last name
INSTRUCTIONS
• Use black ink. You may use an HB pencil for graphs and diagrams.
• Answer all the questions.
• Read each question carefully before you start to write your answer.
• Where appropriate, your answers should be supported with working. Marks may be
given for a correct method even if the answer is incorrect.
• Write your answer to each question in the space provided.
• If additional space is required, you should use the lined page(s) at the end of this
booklet. The question number(s) must be clearly shown.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document consists of 20 pages.
No calculator can
be used for this
paper
, 2
© OCR 2019 [601/4606/0]
DC (NF/TP) 173952/3
OCR is an exempt Charity
Turn over
Answer all the questions.
1 Work out (2 1 )# 03 # (4#104), giving your answer in standard form.
......................................................... [2]
2 (a) Simplify fully.
3a8#2a5 a2
(a) ......................................................... [3]
(b) Solve.
6 10x -
=1 5
© OCR 2019
, 3
(b) x = ................................................... [3] 3 Ed has a card shop.
(a) He buys a particular card for £1.20 and sells it for £1.68.
Calculate his percentage profit on this card.
(a) .....................................................% [3]
(b) Ed’s profit on “Good Luck” cards in 2018 was £360.
This was a decrease of 20% on his profit in 2017.
Work out Ed’s profit on “Good Luck” cards in 2017.
(b) £ ...................................................... [3]
4 (a) A sunflower grows at a rate of 4 cm each day.
How many days does it take to grow from a height of 80 cm to more than 1.06 m?
(a) ......................................................... [3]
(b) If the sunflower grows at a faster rate, how would this affect your
answer to part (a)?
© OCR 2019 Turn over
